2646 has 24 divisors (see below), whose sum is σ = 6840. Its totient is φ = 756.

The previous prime is 2633. The next prime is 2647. The reversal of 2646 is 6462.

2646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (288) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2646.

It is not an unprimeable number, because it can be changed into a prime (2647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (285).

2²⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420).

2646 is an abundant number, since it is smaller than the sum of its proper divisors (4194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2646 is a wasteful number, since it uses less digits than its factorization.

2646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 12 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2646 is about 51.4392845984. The cubic root of 2646 is about 13.8313088762.

Subtracting from 2646 its sum of digits (18), we obtain a triangular number (2628 = T₇₂).

The spelling of 2646 in words is "two thousand, six hundred forty-six".